Optimal control of a multi-patch Dengue model under the influence of Wolbachia bacterium

Abstract

In this work, a multi-patch model for dengue transmission dynamics including the bacterium Wolbachia is studied and by that the control efforts to minimize the disease spread by host and vector control are investigated. The multi-patch system models the host movement within the patches which coupled via a residence-time budgeting matrix P. Numerical results confirm that the control mechanism embedded in incidence rates of the disease transmission, effectively reduce the spread of the disease.

Keywords: Dengue model; Multi-patch model; Optimal control; Reproduction number; Wolbachia.